Set 07

Anton Petrunin, 12/mar/2025

For full credit, complete the first six exercises.


  • 1. Side altitude and median
  • 2. Doubling the square
  • 3. Area 1:2:3
  • 4. Equiareal trangle
  • 5. Area bisection 1
  • 6. Area bisection 2
  • 7. Area bisection 3
  • 8. Area bisection 4
  • 9. Equiareal triangles
  • 10. Altitude-altitude-altitude

1.

Side altitude and median

Construct a triangle with an altitude h, a median m from one vertex, and an opposite side of length s.
Hint:
Start with a right triangle with a leg h and a hypotenuse m.
– Anton Petrunin

2.

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3.

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4.

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5.

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6.

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7.

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8.

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9.

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10.

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